Write the given linear system in matrix form. Assume X = X' = X 3 5 1 dx dt dy dt dz dt = −3x + 4y + e¯t sin(2t) = 5x + 9z+ 4e¯t cos(2t) = y + 8z - e-t 4 9 8 1 4 -1 X + (:))
Write the given linear system in matrix form. Assume X = X' = X 3 5 1 dx dt dy dt dz dt = −3x + 4y + e¯t sin(2t) = 5x + 9z+ 4e¯t cos(2t) = y + 8z - e-t 4 9 8 1 4 -1 X + (:))
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Write the given linear system in matrix form. Assume X =
X' =
X
3
5
1
dx
dt
dy
dt
dz
dt
= −3x + 4y + e¯t sin(2t)
=
5x + 9z+ 4e¯t cos(2t)
= y + 8z - e-t
4
9
8
1
4
-1
X +
(:))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa48f7eb-bce8-4ea0-bf8b-7482c9c56a7c%2F8b0f734b-6d29-4c0a-9ee8-fa48dde8b073%2Fmetsj6o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Write the given linear system in matrix form. Assume X =
X' =
X
3
5
1
dx
dt
dy
dt
dz
dt
= −3x + 4y + e¯t sin(2t)
=
5x + 9z+ 4e¯t cos(2t)
= y + 8z - e-t
4
9
8
1
4
-1
X +
(:))
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